Explain the difference between a permutation and a combination. How many ways can 5 students be seated in a row if two specific students must sit together?
Define the argument of a complex number. Find the argument of the complex number 1 plus root 3 i.
Prove by induction that the sum of the first n odd natural numbers is equal to n squared.
Prove that tan squared theta plus 1 equals sec squared theta. Use this identity to solve for tan theta if sec theta equals 5 over 3.
Define the union and intersection of two sets. If A is the set 1, 2, 3 and B is the set 2, 3, 4, find A union B and A intersection B.
A box contains 4 red, 3 blue, and 5 green balls. If two balls are drawn at random, what is the probability that both balls are green?
Define a differential equation and provide an example. Solve the differential equation dy over dx equal to 2x.
Define the area under a curve and explain how to calculate it using integration. Find the area enclosed between the curve y equals x squared and the x-axis from x equal to 0 to x equal to 3.
+91 94284 01196
© Copyright 2025. Doubtora. All Rights Reserved
